If you can done that, good for you. What I definitely know that, beside the Model numbers of VGN and PCG, each machine has a unique UUID number. It is the combination of NIC mac address and other unknown secret information. All that information including model number, serial number, bios and user password are keep in a serial EEPROM, not in BIOS. So you cannot change something in BIOS to make it works with recovery set of other model.